The Changing Shape of Geometry: Celebrating a Century of Geometry and Geometry Teaching

ISBN-13: 9780521531627 / Angielski / Miękka / 2003 / 560 str.

Pritchard, Chris

Opis

Celebrating a century of geometry and geometry teaching, this volume includes popular articles on Pythagoras, the golden ratio and recreational geometry. Thirty "Desert Island Theorems" from distinguished mathematicians and educators disclose surprising results. (Contributors include a Nobel Laureate and a Pulitzer Prize winner.) Co-published with The Mathematical Association of America.

Recenzje

'There are many hidden pearls, as well as some new or little-known proofs of well-known theorems, which will delight the enthusiast and convert the geometrophobe.' Mathematika

Spis treści

Introduction; 1. The nature of geometry; 2. Desert island theorems - Greek geometry; 3. The history of geometry; 4. Desert island theorems - elementary Euclidean geometry; 5. Pythagoras' theorem; 6. Desert island theorems - advanced Euclidean geometry; 7. The golden ratio; 8. Desert island theorems - non-Euclidean geometry and topology; 9. Recreational geometry; 10. Desert island theorems - geometrical physics; 11. The teaching of geometry; Appendices.